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四边形几何性质演示

四边形几何性质演示
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2017-12-11 13:45
角几何作图
所属专题 Mathematics Form 1
①本范例演示四边形（包括菱形、矩形、正方形、梯形等）的几何性质与关系；②涉及核心概念：对角线、内角和、边长关系、对称性、面积计算；③作图要点：使用Segment、Rotate、Distance、Angle、OrthogonalLine、Point、Line、Intersect、Circle、LineBisector、Ray等命令构建图形并分析性质；④适合高中数学教学或几何爱好者探索四边形特性。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Rotate(A, (-(90°)), B) → C
  3. Rotate(B, 90°, A) → D
  4. Segment(D, A) → b
  5. Segment(D, C) → c
  6. Segment(C, B) → d
  7. Distance(A, B) → AB
  8. Angle(B, A, D) → α
  9. Angle(A, D, C) → β
  10. Angle(D, C, B) → γ
  11. Angle(C, B, A) → δ
  12. Segment(E, F) → f
  13. OrthogonalLine(E, f) → g
  14. OrthogonalLine(F, f) → h
  15. Point(g) → G
  16. Line(G, f) → i
  17. Intersect(h, i) → H
  18. Segment(E, G) → j
  19. Segment(G, H) → k
  20. Segment(H, F) → l
  21. Angle(F, E, G) → ε
  22. Angle(E, G, H) → ζ
  23. Angle(G, H, F) → η
  24. Angle(H, F, E) → θ
  25. Distance(E, F) → EF
  26. Distance(E, G) → EG
  27. Circle(I, J) → p
  28. Segment(I, J) → n
  29. Point(p) → K
  30. Segment(I, K) → q
  31. Line(K, n) → r
  32. Line(J, q) → s
  33. Intersect(r, s) → L
  34. Segment(K, L) → t
  35. Segment(J, L) → a_1
  36. Distance(I, J) → IJ
  37. Distance(I, K) → IK
  38. Line(M, q) → b_1
  39. Line(M, t) → c_1
  40. Segment(N, O) → d_1
  41. Segment(N, P) → e_1
  42. Line(P, d_1) → f_1
  43. Line(O, e_1) → g_1
  44. Intersect(f_1, g_1) → Q
  45. Segment(P, Q) → h_1
  46. Segment(Q, O) → i_1
  47. Distance(N, O) → NO
  48. Distance(N, P) → NP
  49. Line(R, e_1) → j_1
  50. Line(R, h_1) → k_1
  51. Segment(S, T) → l_1
  52. Line(U, l_1) → m_1
  53. Point(m_1) → V
  54. Segment(U, S) → n_1
  55. Segment(V, T) → p_1
  56. Segment(U, V) → q_1
  57. Segment(A_2, A_4) → r_1
  58. LineBisector(A_4, A_2) → s_1
  59. Intersect(s_1, r_1) → W
  60. Point(s_1) → Z
  61. Ray(W, Z) → d_2
  62. Point(s_1) → B_1
  63. Ray(W, B_1) → e_2
  64. Point(e_2) → A_3
  65. Point(d_2) → A_1
  66. Segment(A_4, A_3) → t_1
  67. Segment(A_3, A_2) → a_2
  68. Segment(A_2, A_1) → b_2
  69. Segment(A_1, A_4) → c_2
  70. Distance(A_1, A_2) → A1A2
  71. Distance(A_1, A_4) → A1A4
  72. Distance(A_2, A_3) → A2A3
  73. Distance(A_4, A_3) → A3A4
  74. Segment(A, C) → f_2
  75. Segment(D, B) → g_2
  76. Intersect(f_2, g_2) → C_1
  77. Angle(C, C_1, D) → ι
  78. Distance(A, C_1) → AC01
  79. Distance(C, C_1) → CC01
  80. Distance(D, C_1) → DC01
  81. Distance(B, C_1) → BC01
  82. Segment(E, H) → h_2
  83. Segment(G, F) → i_2
  84. Intersect(h_2, i_2) → D_1
  85. Distance(E, D_1) → ED01
  86. Distance(F, D_1) → FD01
  87. Distance(G, D_1) → GD01
  88. Distance(H, D_1) → HD01
  89. Segment(I, L) → j_2
  90. Segment(J, K) → k_2
  91. Intersect(j_2, k_2) → E_1
  92. Angle(L, E_1, K) → κ
  93. Distance(I, E_1) → IE01
  94. Distance(J, E_1) → JE01
  95. Distance(K, E_1) → KE01
  96. Distance(L, E_1) → LE01
  97. Segment(N, Q) → l_2
  98. Segment(O, P) → m_2
  99. Intersect(l_2, m_2) → F_1
  100. Distance(N, F_1) → NF01
  101. Distance(O, F_1) → OF01
  102. Distance(P, F_1) → PF01
  103. Distance(Q, F_1) → QF01
  104. Segment(A_3, A_1) → n_2
  105. Angle(r_1, n_2) → λ
  106. Intersect(r_1, n_2) → G_1
  107. Distance(A_1, G_1) → A02G01
  108. Distance(A_4, G_1) → A04G01
  109. SelectedIndex(Bahasa) → nn
  110. If(nn ≟ 1, "units", "unit") → UTex